-∞ x² et³dx.

Q: 五 -3-2 5+ -5+ 1 3 6 A H

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: In this problem, y = c₂ cos(4x) + C₂ sin(4x) is a two-parameter family of solutions of the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: differentiate the function f(v)=(v^1/3-2ve^v)/v

A: fv=v13-2vevv NOTE:-Here in question brackets are not given v^1/3 but as we see it must be v^(1/3)…

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Find the unit vector ey, where v = = (4,0,7). (Give your answer using component form. Express…

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Q: The following table gives values of a continuous function. X ave 20 25 30 f(x) 41 38 29 35 40 45 50…

A: The following table gives values of a continuous function. x 20 25 30 40 45 50 fx 41 38 29 26…

Q: Write the vector shown on the graph below as a linear combination of standard unit vectors i and j.…

A: Graph

Q: 25. Practice similar Help me with this Use the ratio test to determine whether an+1 lim n→∞ an (a)…

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Q: 61. an = nsin RIS n

A: We find the limit of given sequence.

Q: Two cars approach an intersection at right angles, one traveling north at 60 km/h and the other…

A: We have to find the rate at which distance between the cars is changing.

Q: (ii) y = e2x cos(1+2x²) (1+2x²)

A: y=e2xcos1+2x21+2x2

Q: 2. Find F'(x) if F(x) =tan(3x² + 2x). Solution: U= du dx 11 dy du dy dx 11

A: As per our company guidelines we are supposed to solve first question in different questions so…

Q: Find the vertex, focus, and directrix of the parabola, and sketch its graph. (x-4)²-2(y+5)-0 vertex…

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Q: find the Maclaurin series for (a) sin x and (b) cos x. Where does each series converge?

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Q: Find the volume of the solid that lies below the paraboloid using Double integrals in Polar…

A: This is question of calculus Here we have to find volume using double integration method  Curve…

Q: əz Use the chain rule to find and as əz əs əz at = = əz at z = In(4x + 3y), x = s sin(t), y = t…

A: z=ln4x+3y ,x=s sint ,y=t coss

Q: A tower that is 110 feet tall casts a shadow 167 feet long. Find the angle of elevation of the sun…

A: The given image is:

Q: 1 (a - b) In (a − x) (b - x) X *)] = [K₂ t]

A:

Q: If f(x, y, z) = 7xy²z³ + arcsin(x√z), find fx [Hint: Which order of differentiation is easiest?]…

A: If fx, y, z=7xy2z3+arcsinxz, then to find fxzy.

Q: 3) Factor the following polynomials: (a) 12x²y + 4xy² - 18ay (c) 2x² - 9x - 18 (d) 27y³ - 125 (b) d…

A: Given polynomials are : (a) 12x²y+4xy²-18xy ;  (b) d²-5d-66 (c) 2x²- 9x - 18 (d) 27y³-125 (e) 121x²…

Q: Consider the series Find S4 and S4= S8 = S8 n=1 3 n+7 43 Let Sn be the n-th partial sum; that is, Sn…

A: Given:  We have  Sn = 3/n+ 7  , limit series n =1 to infinity

Q: For each function below, assume A and B are constants. Match each graph with one of the listed…

A:

Q: When a body is freed from a FIXED SUPPORT, what support reactions must be used to replace the effect…

A: This is question of support reaction  Here fixed support is given  And free body diagram related we…

Q: Evaluate. Use reduced fractions instead of decimals in your answer. 7 sec 6x dx = ² S + C

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Q: Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your…

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Q: 7) Refer to the information in Problem 6. Find the object's total distance traveled on the interval…

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Q: I have a few questions: How did you get from (sin2(x)+sin(x)+5sin(x)+5)/(sin2(x)-12) to…

A: Given:f(x)g(x)=sin2x + 6sinx + 5sin2x - 12   Basic information: 1. x2 + a+bx +ab =x+ax+b2.…

Q: fa 2D Free-body diagram has four unknown support reactions, the problem is: Statically Determinate O…

A:

Q: 3) Curve Stretching Let F(x) = x 4-12x² +36x. use all significant Features (Domain, X and…

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Q: 6) Find the area under the line y = 3 and above the curve y = sin x on the interval [0, π].

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Q: Consider the following. dz Find by using the chain rule. (Enter your answer in terms of t.) dt dz dt…

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Q: Consider the series Answer: L = n=1 5" (n+1)4²n+1* Evaluate the the following limit. If it is…

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Q: Evaluate the definite integral. π/2 x² sin(x) 1 + x8 À -π/2 dx

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Q: For the angle 0, find the following. (a) tan (0) (b) cot(0) (c) sec(0) (d) csc(0) 37 (-12,-35) y 0

A: Figure

Q: Biologists have noticed that the chirping of crickets of a certain species is related to…

A: T=Temperature in degree FahrenheitN=Number of chirps per minute

Q: Let F(x, y, z) = (P(x, y, z), Q(x, y, z), R(x, y, z)) = (y cos(x) — y, sin x +2yz − x, y² + 1) be a…

A: To show that the vector field F = (P, Q, R) is conservative, we need to demonstrate that its curl is…

Q: 3) Find the area bounded by the parabola x = 9-(y-2)² and the y-axis.

A: We know that area formula int_a^b f(x) dx

Q: Use the equations to find дz Әх az ду - дz Әх əz Әх = and ƏF Әх ƏF əz and дz ду əz ду x2 - y2 + z² -…

A: x2-y2+z2-6z=7∂z∂x=-∂F∂x∂F∂z∂z∂y=-∂F∂y∂F∂z

Q: Evaluate the definite integral. [° ( Z - ²3/) dx J₁ X

A: ∫16x6-9xdx

Q: The average value of f(x) on the interval (a, b) is found by using the following equation. 1 fave =…

A: The given function is: f(x)=4x-x2 ;          0, 4

Q: Given u = a. 27 + 47 b. u c. u x d. lul V V [-4,4, 4] and = - [-5,6, 2] find

A: Addition of two vector formula and product rules

Q: The initial and terminal points of AB are given below. Write the vector in component form. A (-5, 2)…

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Q: Find f. II f"(x) = cos(x), f(0) = 6, f'(0) = 4, f'(0)4, "C

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Q: Show every step to solve the problem. Solve question subpart D ONLY.

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Q: Find polar coordinates for each point in rectangular coordinates with a positive radial coordinate…

A: Given :- Rectangular coordinates with a positive radial coordinate and a negative radial coordinate.…

Q: 8 2k Σ k=1 k!

A:

Q: 10. Given = [10,4] and = [12, 13], find the projection of u on v. -

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Q: Suppose f(x) = 4x + 1. Determine, in a simplified form, each of the following: (a) f(a) = (b)…

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Q: Find all values of m so that the function  y = xm  is a solution of the given differential equation.…

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Q: Evaluate the triple integrals ſſy dV, W = {(x,y,z):0≤x≤3,0≤y≤x,x=y≤z≤x+y}. W

A: Given data